AMS Bookstore LOGO amslogo
Return to List  Item: 1 of 1   
Infinite Element Methods
Lung-an Ying
A publication of Vieweg+Teubner.
Vieweg Monographs
1995; 209 pp; hardcover
ISBN-10: 3-528-06610-5
ISBN-13: 978-3-528-06610-9
List Price: US$62
Member Price: US$55.80
Order Code: VW/6
[Add Item]

"As its name indicates, in the infinite element method the underlying domain is divided into infinitely many pieces. This leads to a system of infinitely many equations for infinitely many unknowns; but these can be reduced by analytical techniques to a finite system when some sort of scaling is present in the original problem. The simplest illustrative example, described carefully at the beginning of the first chapter of the book, is the solution of the Dirichlet problem in the exterior of some polygon. The exterior is subdivided into annular regions by a sequence of geometrically expanding images of the given polygon; these annuli are then further subdivided. The resulting variational equations take the form of a block tridiagonal Toeplitz matrix, with an inhomogeneous term in the zero component. Various efficient methods are described for solving such systems of equations ... The infinite element method is, wherever applicable, an elegant and efficient approach to solving problems in physics and engineering. Professor Ying's welcome book makes it available to the community of numerical analysts and computational scientists."

--from the Preface by Peter D. Lax

A publication of Vieweg+Teubner. The AMS is exclusive distributor in North America. Vieweg+Teubner Publications are available worldwide from the AMS outside of Germany, Switzerland, Austria, and Japan.

Copublished in cooperation with Peking University Press.

Readership

Table of Contents

  • Algorithm
  • Foundations of algorithm
  • Convergence
  • Examples
  • Bibliography
Powered by MathJax
Return to List  Item: 1 of 1   

  AMS Home | Comments: webmaster@ams.org
© Copyright 2014, American Mathematical Society
Privacy Statement

AMS Social

AMS and Social Media LinkedIn Facebook Podcasts Twitter YouTube RSS Feeds Blogs Wikipedia